We report the successful growth of ultra-large sized magnesium fluoride (MgF2) and lithium calcium aluminum fluoride (LiCaAlF6) single crystals using the Czochralski growth method with a double-layer crucible. The 8-inch diameter MgF2 crystal was grown in argon atmosphere at a growth rate of 2 mm/h up to a length of 10 cm while the 4-inch diameter LiCaAlF6 crystal was grown in carbon tetrafluoride atmosphere at a growth rate of 1 mm/h up to a length of 30 cm. The 8-inch diameter satisfies the required size for the moderator that slows down neutrons in Boron Neutron Capture Therapy (BNCT), a noninvasive radiation therapy that selectively targets only the cancer cells. The successful growth of these ultra-large single crystals will not only advance BNCT but will also open new possibilities for optical materials such as lenses and windows in the vacuum ultraviolet region.